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Finding the Fourth Proportional to 3,967.04, 5,951.88 and 2,782.31

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Solution

The fourth proportional to 3,967.04, 5,951.88 and 2,782.31 is: 4,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.04 : 5,951.88 = 2,782.31 : x
  2. Step 2: Convert to fraction form
    3,967.04/5,951.88 = 2,782.31/x
  3. Step 3: Cross multiply
    3,967.04x = 5,951.88 × 2,782.31
  4. Step 4: Simplify right side
    3,967.04x = 16,559,945.48
  5. Step 5: Solve for x
    x = 16,559,945.48/3,967.04
  6. Step 6: Final answer
    x = 4,174.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.